Trigonometria Exemplos

$4 \sin (x) \cos^{3} (x) + 4 \sin^{3} (x) \cos (x)$

Etapa 1

Fatore $4 \sin (x) \cos (x)$ de $4 \sin (x) \cos^{3} (x) + 4 \sin^{3} (x) \cos (x)$ .

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Etapa 1.1

Fatore $4 \sin (x) \cos (x)$ de $4 \sin (x) \cos^{3} (x)$ .

$4 \sin (x) \cos (x) (\cos^{2} (x)) + 4 \sin^{3} (x) \cos (x)$

Etapa 1.2

Fatore $4 \sin (x) \cos (x)$ de $4 \sin^{3} (x) \cos (x)$ .

$4 \sin (x) \cos (x) (\cos^{2} (x)) + 4 \sin (x) \cos (x) (\sin^{2} (x))$

Etapa 1.3

Fatore $4 \sin (x) \cos (x)$ de $4 \sin (x) \cos (x) (\cos^{2} (x)) + 4 \sin (x) \cos (x) (\sin^{2} (x))$ .

$4 \sin (x) \cos (x) (\cos^{2} (x) + \sin^{2} (x))$

Etapa 2

Reorganize os termos.

$4 \sin (x) \cos (x) (\sin^{2} (x) + \cos^{2} (x))$

Etapa 3

Aplique a identidade trigonométrica fundamental.

$4 \sin (x) \cos (x) \cdot 1$

Etapa 4

Multiplique $4$ por $1$ .

$4 \sin (x) \cos (x)$